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Finding the Third Proportional to 37,620 and 84,152

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Solution

The third proportional to 37,620 and 84,152 is: 188,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,620 : 84,152 = 84,152 : x
  2. Step 2: Convert to fraction form
    37,620/84,152 = 84,152/x
  3. Step 3: Cross multiply
    37,620x = 84,152 × 84,152
  4. Step 4: Simplify right side
    37,620x = 7,081,559,104
  5. Step 5: Solve for x
    x = 7,081,559,104/37,620
  6. Step 6: Final answer
    x = 188,239.21

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.